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Mesh generation/refinement using fractal concepts and iterated function systemsA novel method of mesh generation is proposed which is based on the use of fractal concepts to derive contractive, affine transformations. The transformations are constructed in such a manner that the attractors of the resulting maps are a union of the points, lines and surfaces in the domain. In particular, the mesh nodes may be generated recursively as a sequence of points which are obtained by applying the transformations to a coarse background mesh constructed from the given boundary data. A Delaunay triangulation or similar edge connection approach can then be performed on the resulting set of nodes in order to generate the mesh. Local refinement of an existing mesh can also be performed using the procedure. The method is easily extended to three dimensions, in which case the Delaunay triangulation is replaced by an analogous 3D tesselation.
Document ID
19920040636
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Bova, S. W.
(NASA Headquarters Washington, DC United States)
Carey, G. F.
(Texas, University Austin, United States)
Date Acquired
August 15, 2013
Publication Date
January 30, 1992
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 33
ISSN: 0029-5981
Subject Category
Numerical Analysis
Accession Number
92A23260
Funding Number(s)
CONTRACT_GRANT: NSF ECS-87-08082
Distribution Limits
Public
Copyright
Other

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